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Surface critical behavior of two-dimensional dilute Ising models

W. Selke·F. Szalma·P. Lajko·F. Igloi
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Abstract

Ising models with nearest-neighbor ferromagnetic random couplings on a square lattice with a (1,1) surface are studied, using Monte Carlo techniques and star-tiangle transformation method. In particular, the critical exponent of the surface magnetization is found to be close to that of the perfect model, beta_s=1/2. The crossover from surface to bulk critical properties is discussed.

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W. Selke, F. Szalma, P. Lajko, F. Igloi. 1997-07-31. Surface critical behavior of two-dimensional dilute Ising models. https://doi.org/10.1007/bf02764223

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